On the Brauer group of diagonal quartic surfaces

Evis Ieronymou
2011
Article

Résumé

We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over Q to be algebraic. We also give an upper bound for the order of the quotient of the Brauer group of D by the image of the Brauer group of Q. The proof is based on the isomorphism of the Fermat quartic surface with a Kummer surface due to Mizukami.

Source officielle

https://infoscience.epfl.ch/record/171407?ln=fr

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